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Finding the Fourth Proportional to 796.30, 1,098.57 and 534.40

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Solution

The fourth proportional to 796.30, 1,098.57 and 534.40 is: 737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.30 : 1,098.57 = 534.40 : x
  2. Step 2: Convert to fraction form
    796.30/1,098.57 = 534.40/x
  3. Step 3: Cross multiply
    796.30x = 1,098.57 × 534.40
  4. Step 4: Simplify right side
    796.30x = 587,075.81
  5. Step 5: Solve for x
    x = 587,075.81/796.30
  6. Step 6: Final answer
    x = 737.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.